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Finding the Fourth Proportional to 1,253.36, 1,729.56 and 693.68

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Solution

The fourth proportional to 1,253.36, 1,729.56 and 693.68 is: 957.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,253.36 : 1,729.56 = 693.68 : x
  2. Step 2: Convert to fraction form
    1,253.36/1,729.56 = 693.68/x
  3. Step 3: Cross multiply
    1,253.36x = 1,729.56 × 693.68
  4. Step 4: Simplify right side
    1,253.36x = 1,199,761.18
  5. Step 5: Solve for x
    x = 1,199,761.18/1,253.36
  6. Step 6: Final answer
    x = 957.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.